Search a number
-
+
11100310020 = 2232561668389
BaseRepresentation
bin10100101011010000…
…10100101000000100
31001122121012011201100
422111220110220010
5140213134410040
65033250100100
7542035035612
oct122550245004
931577164640
1011100310020
114786921238
12219957a630
13107b9492a7
147743426b2
1544e7a5b30
hex295a14a04

11100310020 has 36 divisors (see below), whose sum is σ = 33670940940. Its totient is φ = 2960082624.

The previous prime is 11100310009. The next prime is 11100310031. The reversal of 11100310020 is 2001300111.

It is an interprime number because it is at equal distance from previous prime (11100310009) and next prime (11100310031).

It can be written as a sum of positive squares in 2 ways, for example, as 4371060996 + 6729249024 = 66114^2 + 82032^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×111003100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100309984 and 11100310011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30834015 + ... + 30834374.

It is an arithmetic number, because the mean of its divisors is an integer number (935303915).

Almost surely, 211100310020 is an apocalyptic number.

11100310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100310020 is an abundant number, since it is smaller than the sum of its proper divisors (22570630920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100310020 is a wasteful number, since it uses less digits than its factorization.

11100310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61668404 (or 61668399 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11100310020 its reverse (2001300111), we get a palindrome (13101610131).

Subtracting from 11100310020 its reverse (2001300111), we obtain a palindrome (9099009909).

The spelling of 11100310020 in words is "eleven billion, one hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 61668389 123336778 185005167 246673556 308341945 370010334 555015501 616683890 740020668 925025835 1110031002 1233367780 1850051670 2220062004 2775077505 3700103340 5550155010 11100310020